City planning a major developer is building a 5000-acre

Question

Question: CITY PLANNING A major developer is building a 5000-acre complex of homes, offices, stores, schools, and churches in the rural community of Marlboro. As a result of this development, the planners have estimated that Marlboro's population (in thousands) t yr from now will be given by

P(t) = 25t² + 125t + 200
            t² + 5t + 40

a. Plot the graph of P in the viewing window [0, 50] × [0, 30].

b. What will be the population of Marlboro in the long run?